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Finding the Fourth Proportional to 1,427.96, 2,141.76 and 388.04

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Solution

The fourth proportional to 1,427.96, 2,141.76 and 388.04 is: 582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.96 : 2,141.76 = 388.04 : x
  2. Step 2: Convert to fraction form
    1,427.96/2,141.76 = 388.04/x
  3. Step 3: Cross multiply
    1,427.96x = 2,141.76 × 388.04
  4. Step 4: Simplify right side
    1,427.96x = 831,088.55
  5. Step 5: Solve for x
    x = 831,088.55/1,427.96
  6. Step 6: Final answer
    x = 582.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.